
Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization
Lars Grüne(Author)
Springer (Publisher)
Published on 1. April 2002
Book
Paperback/Softback
X, 238 pages
978-3-540-43391-0 (ISBN)
Description
This book provides an approach to the study of perturbation and discretization effects on the long-time behavior of dynamical and control systems. It analyzes the impact of time and space discretizations on asymptotically stable attracting sets, attractors, asumptotically controllable sets and their respective domains of attractions and reachable sets. Combining robust stability concepts from nonlinear control theory, techniques from optimal control and differential games and methods from nonsmooth analysis, both qualitative and quantitative results are obtained and new algorithms are developed, analyzed and illustrated by examples.
More details
Series
Edition
2002 ed.
Language
English
Place of publication
Berlin
Germany
Publishing group
Springer Berlin
Target group
Professional and scholarly
Research
Illustrations
X, 238 p.
Dimensions
Height: 235 mm
Width: 155 mm
Thickness: 14 mm
Weight
376 gr
ISBN-13
978-3-540-43391-0 (9783540433910)
DOI
10.1007/b83677
Schweitzer Classification
Other editions
Additional editions

Lars Grüne
Asymptotic Behavior of Dynamical and Control Systems under Pertubation and Discretization
E-Book
10/2004
Springer
€46.00
Available for download
Person
Dr. Lars Grüne ist Professor für Angewandte Mathematik am
Mathematischen Institut der Universität Bayreuth.
Dr. Oliver Junge ist Professor für Numerik komplexer Systeme am Zentrum Mathematik der Technischen Universität München.
Content
Dynamics, Perturbation and Discretization.- Setup and Preliminaries.- Strongly Attracting Sets.- Weakly Attracting Sets.- Relation between Discretization and Perturbation.- Discretizations of Attractive Sets.- Domains of Attraction.- Appendices. Viscosity Solutions. Comparison Functions. Numerical Examples.